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Finding the Fourth Proportional to 11,241.84, 16,861.32 and 3,845.28

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Solution

The fourth proportional to 11,241.84, 16,861.32 and 3,845.28 is: 5,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.84 : 16,861.32 = 3,845.28 : x
  2. Step 2: Convert to fraction form
    11,241.84/16,861.32 = 3,845.28/x
  3. Step 3: Cross multiply
    11,241.84x = 16,861.32 × 3,845.28
  4. Step 4: Simplify right side
    11,241.84x = 64,836,496.57
  5. Step 5: Solve for x
    x = 64,836,496.57/11,241.84
  6. Step 6: Final answer
    x = 5,767.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.